The fluctuation in Earth's overall magnetic field would have some effect on ionized matter entering Earth's field, slightly deflecting the path of ions as they enter the atmosphere, favoring some locations over others as the field fluctuations progress (as seen in the video in the link). This could affect the location of entry to the atmosphere of ionized O and H (ergo H2O) arriving with CMEs and the solar wind, therefor could affect terrestrial weather.

While the magnetic field is created largely by an ocean of superheated, swirling liquid iron in the planet's outer core, other factors, like magnetised rocks in the crust and the flow of the ocean, also affect the field.

Or is it the same causation generating both the magnetic field, and the "swirling liquid" ? A charged mass generates its own magnetic field when it spins.

Good point about global reception being filtered, or enhanced by the field-modified atmospheres. It's a constant interaction with the incoming radiations that ionized the atmospheres initially, but the thermionic radiation emitted by Earth probably plays a role in there somewhere as well. Our satellites are just beginning to get a picture of just how dynamic of a system it all is.

Quote: Whales’ magnetic sense may play an important role in orientation and migration, and strandings may thus be triggered by geomagnetic storms. This approach is supported by the following: (1) disruptions of the Earth's magnetic field by Solar storms can last about 1 day and lead to short-term magnetic latitude changes corresponding to shifts of up to 460 km; (2) many of these disruptions are of a similar magnitude to more permanent geomagnetic anomalies; (3) geomagnetic anomalies in the area north of the North Sea are 50–150 km in diameter; and (4) sperm whales swim about 100 km day−1, and may thus be unable to distinguish between these phenomena.

... .But with the Solar cycles, we had to track spins, since that was a magnetic effect. It already looks to me like Tides are a magnetic effect, so we will have to track spins. This is somewhat easier than it sounds, since we only have to give photons a plus/minus spin. We don't have to track spins in between. Basically, if Jupiter is on one side of the Sun and Saturn is on the other, one will be plus and the other will be minus. Direction matters. Photons moving left become antiphotons when they move right. You can then use the mechanics I spell out in my paper on Solar Cycles.

4) Since the Moon causes the primary tide, all other tides will have to be tracked relative to her. Her position sets the main line at each moment, or the line at 0 degrees.

5) The Solar tide—as carried by the Solar wind and its ions—is the secondary tide, and it will hit maxima at both 0 and 180, relative to the Moon. It will hit minima at 90 on both sides.

6) The big four planets also have to be tracked relative to the Moon, and they will hit maxima and minima in the same way. Planets on the far side of the Sun will continue to be part of the calculations, since they will add to the Solar charge, but their positions must be tracked from the position of the Sun at the time, since their charge must recycle through it.